Összeszámolható

Összeszámolható is a Hungarian adjective that translates to "countable" or "summable" in English. It is primarily used in mathematics, particularly in set theory and abstract algebra, to describe sets or elements that can be counted or enumerated.

In set theory, an "összeszámolható" set is one whose elements can be put into a one-to-one correspondence with the set of natural numbers. This means the set is either finite or countably infinite. A finite set is trivially "összeszámolható" as its elements can be listed and assigned a natural number index. Countably infinite sets, such as the set of integers or the set of rational numbers, also possess this property, although their enumeration requires a specific ordering principle. The concept of countability is fundamental for understanding the different sizes of infinite sets, a key development in mathematics pioneered by Georg Cantor.

The term can also be used in other contexts where a quantity or number of items can be determined or summed up. For example, one might refer to the "összeszámolható" number of stars in a particular constellation or the "összeszámolható" cost of a project. In these instances, it signifies that a definite and finite number can be assigned to the items in question. The opposite of "összeszámolható" is "nem összeszámolható," meaning "uncountable."